// #includes {{{ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; // }}} // pre-written code {{{ #define REP(i,n) for(int i=0;i<(int)(n);++i) #define RREP(i,a,b) for(int i=(int)(a);i<(int)(b);++i) #define FOR(i,c) for(__typeof((c).begin()) i=(c).begin();i!=(c).end();++i) #define LET(x,a) __typeof(a) x(a) //#define IFOR(i,it,c) for(__typeof((c).begin())it=(c).begin();it!=(c).end();++it,++i) #define ALL(c) (c).begin(), (c).end() #define MP make_pair #define EXIST(e,s) ((s).find(e)!=(s).end()) #define RESET(a) memset((a),0,sizeof(a)) #define SET(a) memset((a),-1,sizeof(a)) #define PB push_back #define DEC(it,command) __typeof(command) it=command //debug #define dump(x) cerr << #x << " = " << (x) << endl; #define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl; #define debug2(x) cerr << #x << " = [";REP(__ind,(x).size()){cerr << (x)[__ind] << ", ";}cerr << "] (L" << __LINE__ << ")" << endl; const int INF=0x3f3f3f3f; typedef long long Int; typedef unsigned long long uInt; #ifdef __MINGW32__ typedef double rn; #else typedef long double rn; #endif typedef pair pii; /* #ifdef MYDEBUG #include"debug.h" #include"print.h" #endif */ // }}} const int SZ=20000; int pdiv[SZ]; //{{{ eratosthenes void sieve_of_eratosthenes(int n) { for (int i = 2; i < n; ++i) pdiv[i] = i; for (int i = 2; i*i < n; ++i) if (pdiv[i]==i) for (int j = i*i; j < n; j+=i) pdiv[j] = i; } //}}} int N; int dp[20010][2300]; int ans[20010]; vector primes; int main(){ sieve_of_eratosthenes(SZ); RREP(i,2,SZ)if(i==pdiv[i])primes.push_back(i); cin>>N; for(int n=0;n<=20000;n++){ if(n==0){ dp[n][0] = 0; }else{ dp[n][0] = -INF; } ans[n] = dp[n][0]; for(int i=0;i=0){ dp[n][i+1] = max(dp[t][i]+1,dp[n][i+1]); } ans[n] = max(ans[n],dp[n][i+1]); } } if(ans[N]<0){ cout<<-1<